The mirror in an automobile headlight has a parabolic cross-section with the light bulb at the focus. On a schematic, the equation of the parabola is given as x2 = 4y. If we want to construct the mirror above such that the focus is located at (0, 0.5), what should the equation of the parabola be?

Q: The focus of the parabola y^2 = 4x is at

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Q: the equation for the parabola that has its vertex at the origin and has a focus at (0, 3.6).

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Q: 2. Consider the parabola whose equation is (x + 5)2 = -16(y – 7). What are the coordinates of the…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

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A: Since you have asked multiple questions in single request. So we will answering only first question.

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A: We can draw graph

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A: Given equation is y+12=x+3.

Q: 14. Find an equation for the parabola with directrix at r= -1 and focus (5, 1).

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A: (x+1)2=y-4

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Q: The mirror in an automobile headlight has a parabolic cross section, with the lightbulb at the…

A: x2 = 4ycoordinates of focus = ?

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A: Given: 4x2-3y=0  ……1

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A: As per our guidelines we are supposed to solve only first 3 problems. Please re-post the other…

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Q: find the equation of the parabola with the given  Focus (2, 0), directrix x = −2

A: Our Aim is to find the equation of the parabola with the given Focus (2,0) and directrix x=-2.

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Q: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by…

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Q: Find the equation for the parabola that has its focus at the (−394,−4) and has directrix at x=−254

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Q: 1. Marsha was completing the steps for a parabola that has a focus at (5,-2) with directrix at y =…

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Q: An equation of a parabola is given. x+1/3 y^2=0 find the focal diameter?

A: solution

Q: Find the standard form of the equation of the parabola. Vertex at the origin, focus at (2, 0)

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Q: Find the standard equation of the parabola with directrix x + 1 = 0, axis at y = 1, and the length…

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Q: The focus of the parabola x2 =  8y is

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Q: The equation of the parabola with center at the origin and the focus is at (0,1). A. y? = 4x B. y? =…

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A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find an equation for the indicated half of the parabola.Upper half of (y - 2)2 = x - 4

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A: This is a conic section problem

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A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.